An improved correction of radial velocity systematics for the SOPHIE spectrograph

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Volume 687 (July 2024)

A&A, 687 (2024) A148

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Table E.1

Estimate and credible interval of the orbital parameters for the six planets of HD 158259 and a GP noise model compared with the published values in (Hara et al. 2020)

parameter model	Posteriors from Hara et al. (2020)	Posterior (model with GP noise model)	99.73 % confidence interval
Planet b
P_b [d]	${2.178}_{- 0.0001}^{+ 0.00009}$ $2.178_{ - 0.0001}^{ + 0.00009}$	fixed at 2.178	fixed
K_b [m/s]	${1.05}_{- 0.19}^{+ 0.18}$ $1.05_{ - 0.19}^{ + 0.18}$	${0.91}_{- 0.22}^{+ 0.25}$ $0.91_{ - 0.22}^{ + 0.25}$	[0.50,1.59]
$\sqrt{e_{b}} \cos ω_{b}$ $\sqrt {{e_b}} \cos {\omega _b}$	${0.08}_{- 2.21}^{+ 0.37}$ $0.08_{ - 2.21}^{ + 0.37}$	${0.03}_{- 0.15}^{+ 0.17}$ $0.03_{ - 0.15}^{ + 0.17}$	[−0.36,0.47]
$\sqrt{e_{b}} \sin ω_{b}$ $\sqrt {{e_b}} \sin {\omega _b}$	${0.02}_{- 0.18}^{+ 0.24}$ $0.02_{ - 0.18}^{ + 0.24}$	${0.01}_{- 0.15}^{+ 0.16}$ $0.01_{ - 0.15}^{ + 0.16}$	[−0.42,0.47]
m_b sin i_b [M_⊕]	${2.21}_{- 0.44}^{+ 0.40}$ $2.21_{ - 0.44}^{ + 0.40}$	${1.95}_{- 047}^{+ 0.53}$ $1.95_{ - 047}^{ + 0.53}$	[1.08,3.40]

Planet c
P_c [d]	${3.432}_{- 00002}^{+ 0.0003}$ $3.432_{ - 00002}^{ + 0.0003}$	${3.4318}_{- 0.0003}^{+ 0.0004}$ $3.4318_{ - 0.0003}^{ + 0.0004}$	[3.4308,3.4327]
K_c [m/s]	${2.26}_{- 0.20}^{+ 0.19}$ $2.26_{ - 0.20}^{ + 0.19}$	${2.04}_{- 0.26}^{+ 0.27}$ $2.04_{ - 0.26}^{ + 0.27}$	[1.28,2.73]
$\sqrt{e_{c}} \cos ω_{c}$ $\sqrt {{e_c}} \cos {\omega _c}$	$- {0.01}_{- 0.13}^{+ 0.11}$ $- 0.01_{ - 0.13}^{ + 0.11}$	$- {0.05}_{- 0.14}^{+ 0.14}$ $- 0.05_{ - 0.14}^{ + 0.14}$	[−0.444, 0.306]
$\sqrt{e_{c}} \sin ω_{c}$ $\sqrt {{e_c}} \sin {\omega _c}$	$- {0.0009}_{- 0.1291}^{+ 0.1191}$ $- 0.0009_{ - 0.1291}^{ + 0.1191}$	$- {0.03}_{- 0.15}^{+ 0.15}$ $- 0.03_{ - 0.15}^{ + 0.15}$	[−0.47,0.357]
m_c sin i_c [M_⊕]	${5.59}_{- 0.58}^{+ 0.61}$ $5.59_{ - 0.58}^{ + 0.61}$	${5.08}_{- 0.64}^{+ 0.65}$ $5.08_{ - 0.64}^{ + 0.65}$	[3.19,7.84]

Planet d
P_d [d]	${5.1981}_{- 0.0008}^{+ 0.0008}$ $5.1981_{ - 0.0008}^{ + 0.0008}$	${5.1986}_{- 0.0009}^{+ 0.0009}$ $5.1986_{ - 0.0009}^{ + 0.0009}$	[5.1957,5.2011]
K_d [m/s]	${2.26}_{- 0.20}^{+ 0.19}$ $2.26_{ - 0.20}^{ + 0.19}$	${1.95}_{- 0.26}^{+ 0.27}$ $1.95_{ - 0.26}^{ + 0.27}$	[1.17,2.75]
$\sqrt{e_{d}} \cos ω_{d}$ $\sqrt {{e_d}} \cos {\omega _d}$	${0.12}_{- 0.16}^{+ 0.17}$ $0.12_{ - 0.16}^{ + 0.17}$	${0.06}_{- 0.14}^{+ 0.15}$ $0.06_{ - 0.14}^{ + 0.15}$	[−0.29,0.48]
$\sqrt{e_{d}} \sin ω_{d}$ $\sqrt {{e_d}} \sin {\omega _d}$	$- {0.03}_{- 0.15}^{+ 0.15}$ $- 0.03_{ - 0.15}^{ + 0.15}$	$- {0.007}_{- 0.135}^{+ 0.145}$ $- 0.007_{ - 0.135}^{ + 0.145}$	[−0.384,0.378]
m_d sin i_d [M_⊕]	${5.39}_{- 0.69}^{+ 0.76}$ $5.39_{ - 0.69}^{ + 0.76}$	${5.54}_{- 0.75}^{+ 0.79}$ $5.54_{ - 0.75}^{ + 0.79}$	[3.34,7.85]

Planet e
P_e [d]	${7.951}_{- 0.002}^{+ 0.002}$ $7.951_{ - 0.002}^{ + 0.002}$	${7.949}_{- 0.002}^{+ 0.002}$ $7.949_{ - 0.002}^{ + 0.002}$	[7.943,7.954]
K_e [m/s]	${1.86}_{- 0.28}^{+ 0.27}$ $1.86_{ - 0.28}^{ + 0.27}$	${1.92}_{- 0.27}^{+ 0.29}$ $1.92_{ - 0.27}^{ + 0.29}$	[1.13,2.71]
$\sqrt{e_{e}} \cos ω_{e}$ $\sqrt {{e_e}} \cos {\omega _e}$	$- {0.07}_{- 0.14}^{+ 0.15}$ $- 0.07_{ - 0.14}^{ + 0.15}$	$- {0.03}_{- 0.15}^{+ 0.15}$ $- 0.03_{ - 0.15}^{ + 0.15}$	[−0.44,0.38]
$\sqrt{e_{e}} \sin ω_{e}$ $\sqrt {{e_e}} \sin {\omega _e}$	${0.03}_{- 0.14}^{+ 0.14}$ $0.03_{ - 0.14}^{ + 0.14}$	${0.05}_{- 0.13}^{+ 0.18}$ $0.05_{ - 0.13}^{ + 0.18}$	[−0.32,0.46]
m_e sin i_e [M_⊕]	${6.06}_{- 1.01}^{+ 0.96}$ $6.06_{ - 1.01}^{ + 0.96}$	${6.32}_{- 0.88}^{+ 0.94}$ $6.32_{ - 0.88}^{ + 0.94}$	[3.69,8.91]

Planet f
P_f [d]	${12.028}_{- 0.009}^{+ 0.009}$ $12.028_{ - 0.009}^{ + 0.009}$	${12.032}_{- 0.0088}^{+ 0.007}$ $12.032_{ - 0.0088}^{ + 0.007}$	[12.008,12.049]
K_f [m/s]	${1.63}_{- 0.34}^{+ 0.35}$ $1.63_{ - 0.34}^{ + 0.35}$	${1.76}_{- 0.28}^{+ 0.28}$ $1.76_{ - 0.28}^{ + 0.28}$	[0.94,2.55]
$\sqrt{e_{f}} \cos ω_{f}$ $\sqrt {{e_f}} \cos {\omega _f}$	${0.006}_{- 0.13}^{+ 0.15}$ $0.006_{ - 0.13}^{ + 0.15}$	${0.009}_{- 0.146}^{+ 0.159}$ $0.009_{ - 0.146}^{ + 0.159}$	[−0.376,0.429]
$\sqrt{e_{f}} \sin ω_{f}$ $\sqrt {{e_f}} \sin {\omega _f}$	${0.004}_{- 0.14}^{+ 0.14}$ $0.004_{ - 0.14}^{ + 0.14}$	${0.008}_{- 0.152}^{+ 0.146}$ $0.008_{ - 0.152}^{ + 0.146}$	[−0.443,0.444]
m_f sin i_f [M_⊕]	${6.12}_{- 1.35}^{+ 1.33}$ $6.12_{ - 1.35}^{ + 1.33}$	${6.64}_{- 1.05}^{+ 1.05}$ $6.64_{ - 1.05}^{ + 1.05}$	[3.52,9.64]

Planet g
P_g [d]	${17.42}_{- 0.02}^{+ 0.03}$ $17.42_{ - 0.02}^{ + 0.03}$	${17.44}_{- 0.02}^{+ 0.01}$ $17.44_{ - 0.02}^{ + 0.01}$	[17.385,17.478]
K_g [m/s]	${1.63}_{- 0.40}^{+ 0.39}$ $1.63_{ - 0.40}^{ + 0.39}$	${1.72}_{- 0.28}^{+ 0.29}$ $1.72_{ - 0.28}^{ + 0.29}$	[0.89,2.52]
$\sqrt{e_{g}} \cos ω_{g}$ $\sqrt {{e_g}} \cos {\omega _g}$	$- {0.002}_{- 0.15}^{+ 0.14}$ $- 0.002_{ - 0.15}^{ + 0.14}$	$- {0.02}_{- 0.16}^{+ 0.15}$ $- 0.02_{ - 0.16}^{ + 0.15}$	[−0.457,0.391]
$\sqrt{e_{g}} \sin ω_{g}$ $\sqrt {{e_g}} \sin {\omega _g}$	$- {0.01}_{- 0.15}^{+ 0.14}$ $- 0.01_{ - 0.15}^{ + 0.14}$	$- {0.04}_{- 0.16}^{+ 0.15}$ $- 0.04_{ - 0.16}^{ + 0.15}$	[−0.519,0.383]
m_g sin i_g [M_⊕]	${6.91}_{- 1.76}^{+ 1.73}$ $6.91_{ - 1.76}^{ + 1.73}$	${7.34}_{- 1.22}^{+ 1.21}$ $7.34_{ - 1.22}^{ + 1.21}$	[3.83,10.78]

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